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Damped Response of Orthotropic Shallow Spherical Shells on Nonlinear Elastic Foundation

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Refined Dynamical Theories of Beams, Plates and Shells and Their Applications

Part of the book series: Lecture Notes in Engineering ((LNENG,volume 28))

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Abstract

In this paper the nonlinear dynamic response of orthotropic shallow spherical shells resting on nonlinear Winkler elastic foundation and subjected to uniformly distributed step and sinusoidal loads has been studied. Geometric nonlinearities due to axisymmetric moderately large deformations have been considered. The governing differential equations of motion are solved using Chebyshev series and Houbolt time marching techniques. The effects of viscous damping of shell and of mass of the elastic foundation on the response of orthotropic clamped and simply supported shallow spherical shells have been investigated.

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References

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Author information

Author notes

  1. Y. Nath

    Present address: AvH Fellow at TUHH, 2100, Hamburg 90, Deutschland

Authors and Affiliations

  1. Department of Applied Mechanics, I.T.T. Delhi, New Delhi, 110016, India

    Y. Nath & R. K. Jain

  2. Arbeitsbereich Meerestechnik II, Technische Universität Hamburg-Harburg, D-2100, Hamburg 90, Deutschland

    O. Mahrenholtz

Authors
  1. Y. Nath
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  2. R. K. Jain
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  3. O. Mahrenholtz
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Editor information

Editors and Affiliations

  1. Department of Civil Engineering, University of Notre Dame, 46556, Notre Dame, IN, USA

    Isaac Elishakoff

  2. Institut für Mechanik, Gesamthochschule Kassel — Universität, Mönchebergstraße 7, 3500, Kassel, Germany

    Horst Irretier

  3. I.I.T., Haifa, Israel

    Isaac Elishakoff

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© 1987 Springer-Verlag Berlin, Heidelberg

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Nath, Y., Jain, R.K., Mahrenholtz, O. (1987). Damped Response of Orthotropic Shallow Spherical Shells on Nonlinear Elastic Foundation. In: Elishakoff, I., Irretier, H. (eds) Refined Dynamical Theories of Beams, Plates and Shells and Their Applications. Lecture Notes in Engineering, vol 28. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-83040-2_34

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  • DOI: https://doi.org/10.1007/978-3-642-83040-2_34

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-17573-5

  • Online ISBN: 978-3-642-83040-2

  • eBook Packages: Springer Book Archive

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